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arXiv · 2503.00644

On the Ramsey-Turán problem for 4-cliques

Béla Csaba
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Abstract

We present an essentially tight bound for the Ramsey-Turán problem for 4-cliques without using the Regularity lemma. This enables us to substantially extend the range in which one has the tight bound for the number of edges in $K_4$-free graphs as a function of the independence number, apart from lower order terms.

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Béla Csaba. 2025-03-01. On the Ramsey-Turán problem for 4-cliques. https://arxiv.org/abs/2503.00644

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